What is the Greatest Common Factor of 69936 and 69952?

Greatest common factor (GCF) of 69936 and 69952 is 16.

GCF(69936,69952) = 16

We will now calculate the prime factors of 69936 and 69952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69936 and 69952.

How to find the GCF of 69936 and 69952?

We will first find the prime factorization of 69936 and 69952. After we will calculate the factors of 69936 and 69952 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 69952

Prime factors of 69952 are 2, 1093. Prime factorization of 69952 in exponential form is:

69952 = 2⁶ × 1093¹

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 69952

List of positive integer factors of 69952 that divides 69936 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1093, 2186, 4372, 8744, 17488, 34976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69936 and 69952. The biggest common factor number is the GCF number.
So the greatest common factor 69936 and 69952 is 16.

Also check out the Least Common Multiple of 69936 and 69952