What is the Greatest Common Factor of 69936 and 69942?

Greatest common factor (GCF) of 69936 and 69942 is 6.

GCF(69936,69942) = 6

We will now calculate the prime factors of 69936 and 69942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69936 and 69942.

How to find the GCF of 69936 and 69942?

We will first find the prime factorization of 69936 and 69942. After we will calculate the factors of 69936 and 69942 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 69942

Prime factors of 69942 are 2, 3, 11657. Prime factorization of 69942 in exponential form is:

69942 = 2¹ × 3¹ × 11657¹

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 69942

List of positive integer factors of 69942 that divides 69936 without a remainder.

1, 2, 3, 6, 11657, 23314, 34971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69936 and 69942. The biggest common factor number is the GCF number.
So the greatest common factor 69936 and 69942 is 6.

Also check out the Least Common Multiple of 69936 and 69942