What is the Greatest Common Factor of 86932 and 86940?

Greatest common factor (GCF) of 86932 and 86940 is 4.

GCF(86932,86940) = 4

We will now calculate the prime factors of 86932 and 86940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86932 and 86940.

How to find the GCF of 86932 and 86940?

We will first find the prime factorization of 86932 and 86940. After we will calculate the factors of 86932 and 86940 and find the biggest common factor number .

Step-1: Prime Factorization of 86932

Prime factors of 86932 are 2, 103, 211. Prime factorization of 86932 in exponential form is:

86932 = 2² × 103¹ × 211¹

Step-2: Prime Factorization of 86940

Prime factors of 86940 are 2, 3, 5, 7, 23. Prime factorization of 86940 in exponential form is:

86940 = 2² × 3³ × 5¹ × 7¹ × 23¹

Step-3: Factors of 86932

List of positive integer factors of 86932 that divides 86932 without a remainder.

1, 2, 4, 103, 206, 211, 412, 422, 844, 21733, 43466

Step-4: Factors of 86940

List of positive integer factors of 86940 that divides 86932 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 23, 27, 28, 30, 35, 36, 42, 45, 46, 54, 60, 63, 69, 70, 84, 90, 92, 105, 108, 115, 126, 135, 138, 140, 161, 180, 189, 207, 210, 230, 252, 270, 276, 315, 322, 345, 378, 414, 420, 460, 483, 540, 621, 630, 644, 690, 756, 805, 828, 945, 966, 1035, 1242, 1260, 1380, 1449, 1610, 1890, 1932, 2070, 2415, 2484, 2898, 3105, 3220, 3780, 4140, 4347, 4830, 5796, 6210, 7245, 8694, 9660, 12420, 14490, 17388, 21735, 28980, 43470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86932 and 86940. The biggest common factor number is the GCF number.
So the greatest common factor 86932 and 86940 is 4.

Also check out the Least Common Multiple of 86932 and 86940