What is the Greatest Common Factor of 69936 and 69956?

Greatest common factor (GCF) of 69936 and 69956 is 4.

GCF(69936,69956) = 4

We will now calculate the prime factors of 69936 and 69956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69936 and 69956.

How to find the GCF of 69936 and 69956?

We will first find the prime factorization of 69936 and 69956. After we will calculate the factors of 69936 and 69956 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69956

Prime factors of 69956 are 2, 17489. Prime factorization of 69956 in exponential form is:

69956 = 2² × 17489¹

Step-3: Factors of 69936

List of positive integer factors of 69936 that divides 69936 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

Step-4: Factors of 69956

List of positive integer factors of 69956 that divides 69936 without a remainder.

1, 2, 4, 17489, 34978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69936 and 69956. The biggest common factor number is the GCF number.
So the greatest common factor 69936 and 69956 is 4.

Also check out the Least Common Multiple of 69936 and 69956