What is the Greatest Common Factor of 64780 and 64792?

Greatest common factor (GCF) of 64780 and 64792 is 4.

GCF(64780,64792) = 4

We will now calculate the prime factors of 64780 and 64792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64780 and 64792.

How to find the GCF of 64780 and 64792?

We will first find the prime factorization of 64780 and 64792. After we will calculate the factors of 64780 and 64792 and find the biggest common factor number .

Step-1: Prime Factorization of 64780

Prime factors of 64780 are 2, 5, 41, 79. Prime factorization of 64780 in exponential form is:

64780 = 2² × 5¹ × 41¹ × 79¹

Step-2: Prime Factorization of 64792

Prime factors of 64792 are 2, 7, 13, 89. Prime factorization of 64792 in exponential form is:

64792 = 2³ × 7¹ × 13¹ × 89¹

Step-3: Factors of 64780

List of positive integer factors of 64780 that divides 64780 without a remainder.

1, 2, 4, 5, 10, 20, 41, 79, 82, 158, 164, 205, 316, 395, 410, 790, 820, 1580, 3239, 6478, 12956, 16195, 32390

Step-4: Factors of 64792

List of positive integer factors of 64792 that divides 64780 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 89, 91, 104, 178, 182, 356, 364, 623, 712, 728, 1157, 1246, 2314, 2492, 4628, 4984, 8099, 9256, 16198, 32396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64780 and 64792. The biggest common factor number is the GCF number.
So the greatest common factor 64780 and 64792 is 4.

Also check out the Least Common Multiple of 64780 and 64792