What is the Greatest Common Factor of 91936 and 91942?

Greatest common factor (GCF) of 91936 and 91942 is 2.

GCF(91936,91942) = 2

We will now calculate the prime factors of 91936 and 91942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91936 and 91942.

How to find the GCF of 91936 and 91942?

We will first find the prime factorization of 91936 and 91942. After we will calculate the factors of 91936 and 91942 and find the biggest common factor number .

Step-1: Prime Factorization of 91936

Prime factors of 91936 are 2, 13, 17. Prime factorization of 91936 in exponential form is:

91936 = 2⁵ × 13² × 17¹

Step-2: Prime Factorization of 91942

Prime factors of 91942 are 2, 45971. Prime factorization of 91942 in exponential form is:

91942 = 2¹ × 45971¹

Step-3: Factors of 91936

List of positive integer factors of 91936 that divides 91936 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 169, 208, 221, 272, 338, 416, 442, 544, 676, 884, 1352, 1768, 2704, 2873, 3536, 5408, 5746, 7072, 11492, 22984, 45968

Step-4: Factors of 91942

List of positive integer factors of 91942 that divides 91936 without a remainder.

1, 2, 45971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91936 and 91942. The biggest common factor number is the GCF number.
So the greatest common factor 91936 and 91942 is 2.

Also check out the Least Common Multiple of 91936 and 91942