What is the Greatest Common Factor of 64719 and 64736?

Greatest common factor (GCF) of 64719 and 64736 is 17.

GCF(64719,64736) = 17

We will now calculate the prime factors of 64719 and 64736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64719 and 64736.

How to find the GCF of 64719 and 64736?

We will first find the prime factorization of 64719 and 64736. After we will calculate the factors of 64719 and 64736 and find the biggest common factor number .

Step-1: Prime Factorization of 64719

Prime factors of 64719 are 3, 17, 47. Prime factorization of 64719 in exponential form is:

64719 = 3⁴ × 17¹ × 47¹

Step-2: Prime Factorization of 64736

Prime factors of 64736 are 2, 7, 17. Prime factorization of 64736 in exponential form is:

64736 = 2⁵ × 7¹ × 17²

Step-3: Factors of 64719

List of positive integer factors of 64719 that divides 64719 without a remainder.

1, 3, 9, 17, 27, 47, 51, 81, 141, 153, 423, 459, 799, 1269, 1377, 2397, 3807, 7191, 21573

Step-4: Factors of 64736

List of positive integer factors of 64736 that divides 64719 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 289, 476, 544, 578, 952, 1156, 1904, 2023, 2312, 3808, 4046, 4624, 8092, 9248, 16184, 32368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64719 and 64736. The biggest common factor number is the GCF number.
So the greatest common factor 64719 and 64736 is 17.

Also check out the Least Common Multiple of 64719 and 64736