What is the Greatest Common Factor of 64942 and 64961?

Greatest common factor (GCF) of 64942 and 64961 is 19.

GCF(64942,64961) = 19

We will now calculate the prime factors of 64942 and 64961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64942 and 64961.

How to find the GCF of 64942 and 64961?

We will first find the prime factorization of 64942 and 64961. After we will calculate the factors of 64942 and 64961 and find the biggest common factor number .

Step-1: Prime Factorization of 64942

Prime factors of 64942 are 2, 19, 1709. Prime factorization of 64942 in exponential form is:

64942 = 2¹ × 19¹ × 1709¹

Step-2: Prime Factorization of 64961

Prime factors of 64961 are 13, 19, 263. Prime factorization of 64961 in exponential form is:

64961 = 13¹ × 19¹ × 263¹

Step-3: Factors of 64942

List of positive integer factors of 64942 that divides 64942 without a remainder.

1, 2, 19, 38, 1709, 3418, 32471

Step-4: Factors of 64961

List of positive integer factors of 64961 that divides 64942 without a remainder.

1, 13, 19, 247, 263, 3419, 4997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64942 and 64961. The biggest common factor number is the GCF number.
So the greatest common factor 64942 and 64961 is 19.

Also check out the Least Common Multiple of 64942 and 64961