What is the Greatest Common Factor of 64961 and 64974?

Greatest common factor (GCF) of 64961 and 64974 is 13.

GCF(64961,64974) = 13

We will now calculate the prime factors of 64961 and 64974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64961 and 64974.

How to find the GCF of 64961 and 64974?

We will first find the prime factorization of 64961 and 64974. After we will calculate the factors of 64961 and 64974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64974

Prime factors of 64974 are 2, 3, 7, 13, 17. Prime factorization of 64974 in exponential form is:

64974 = 2¹ × 3¹ × 7² × 13¹ × 17¹

Step-3: Factors of 64961

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

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

Step-4: Factors of 64974

List of positive integer factors of 64974 that divides 64961 without a remainder.

1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 49, 51, 78, 91, 98, 102, 119, 147, 182, 221, 238, 273, 294, 357, 442, 546, 637, 663, 714, 833, 1274, 1326, 1547, 1666, 1911, 2499, 3094, 3822, 4641, 4998, 9282, 10829, 21658, 32487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64961 and 64974. The biggest common factor number is the GCF number.
So the greatest common factor 64961 and 64974 is 13.

Also check out the Least Common Multiple of 64961 and 64974