What is the Greatest Common Factor of 64467 and 64480?

Greatest common factor (GCF) of 64467 and 64480 is 13.

GCF(64467,64480) = 13

We will now calculate the prime factors of 64467 and 64480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64467 and 64480.

How to find the GCF of 64467 and 64480?

We will first find the prime factorization of 64467 and 64480. After we will calculate the factors of 64467 and 64480 and find the biggest common factor number .

Step-1: Prime Factorization of 64467

Prime factors of 64467 are 3, 13, 19, 29. Prime factorization of 64467 in exponential form is:

64467 = 3² × 13¹ × 19¹ × 29¹

Step-2: Prime Factorization of 64480

Prime factors of 64480 are 2, 5, 13, 31. Prime factorization of 64480 in exponential form is:

64480 = 2⁵ × 5¹ × 13¹ × 31¹

Step-3: Factors of 64467

List of positive integer factors of 64467 that divides 64467 without a remainder.

1, 3, 9, 13, 19, 29, 39, 57, 87, 117, 171, 247, 261, 377, 551, 741, 1131, 1653, 2223, 3393, 4959, 7163, 21489

Step-4: Factors of 64480

List of positive integer factors of 64480 that divides 64467 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 32, 40, 52, 62, 65, 80, 104, 124, 130, 155, 160, 208, 248, 260, 310, 403, 416, 496, 520, 620, 806, 992, 1040, 1240, 1612, 2015, 2080, 2480, 3224, 4030, 4960, 6448, 8060, 12896, 16120, 32240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64467 and 64480. The biggest common factor number is the GCF number.
So the greatest common factor 64467 and 64480 is 13.

Also check out the Least Common Multiple of 64467 and 64480