What is the Greatest Common Factor of 69928 and 69936?

Greatest common factor (GCF) of 69928 and 69936 is 8.

GCF(69928,69936) = 8

We will now calculate the prime factors of 69928 and 69936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69928 and 69936.

How to find the GCF of 69928 and 69936?

We will first find the prime factorization of 69928 and 69936. After we will calculate the factors of 69928 and 69936 and find the biggest common factor number .

Step-1: Prime Factorization of 69928

Prime factors of 69928 are 2, 8741. Prime factorization of 69928 in exponential form is:

69928 = 2³ × 8741¹

Step-2: Prime Factorization of 69936

Prime factors of 69936 are 2, 3, 31, 47. Prime factorization of 69936 in exponential form is:

69936 = 2⁴ × 3¹ × 31¹ × 47¹

Step-3: Factors of 69928

List of positive integer factors of 69928 that divides 69928 without a remainder.

1, 2, 4, 8, 8741, 17482, 34964

Step-4: Factors of 69936

List of positive integer factors of 69936 that divides 69928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 47, 48, 62, 93, 94, 124, 141, 186, 188, 248, 282, 372, 376, 496, 564, 744, 752, 1128, 1457, 1488, 2256, 2914, 4371, 5828, 8742, 11656, 17484, 23312, 34968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69928 and 69936. The biggest common factor number is the GCF number.
So the greatest common factor 69928 and 69936 is 8.

Also check out the Least Common Multiple of 69928 and 69936