What is the Greatest Common Factor of 69921 and 69936?

Greatest common factor (GCF) of 69921 and 69936 is 3.

GCF(69921,69936) = 3

We will now calculate the prime factors of 69921 and 69936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69921 and 69936.

How to find the GCF of 69921 and 69936?

We will first find the prime factorization of 69921 and 69936. After we will calculate the factors of 69921 and 69936 and find the biggest common factor number .

Step-1: Prime Factorization of 69921

Prime factors of 69921 are 3, 17, 457. Prime factorization of 69921 in exponential form is:

69921 = 3² × 17¹ × 457¹

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 69921

List of positive integer factors of 69921 that divides 69921 without a remainder.

1, 3, 9, 17, 51, 153, 457, 1371, 4113, 7769, 23307

Step-4: Factors of 69936

List of positive integer factors of 69936 that divides 69921 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 69921 and 69936. The biggest common factor number is the GCF number.
So the greatest common factor 69921 and 69936 is 3.

Also check out the Least Common Multiple of 69921 and 69936