What is the Greatest Common Factor of 64960 and 64972?

Greatest common factor (GCF) of 64960 and 64972 is 4.

GCF(64960,64972) = 4

We will now calculate the prime factors of 64960 and 64972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64960 and 64972.

How to find the GCF of 64960 and 64972?

We will first find the prime factorization of 64960 and 64972. After we will calculate the factors of 64960 and 64972 and find the biggest common factor number .

Step-1: Prime Factorization of 64960

Prime factors of 64960 are 2, 5, 7, 29. Prime factorization of 64960 in exponential form is:

64960 = 2⁶ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 64972

Prime factors of 64972 are 2, 37, 439. Prime factorization of 64972 in exponential form is:

64972 = 2² × 37¹ × 439¹

Step-3: Factors of 64960

List of positive integer factors of 64960 that divides 64960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56, 58, 64, 70, 80, 112, 116, 140, 145, 160, 203, 224, 232, 280, 290, 320, 406, 448, 464, 560, 580, 812, 928, 1015, 1120, 1160, 1624, 1856, 2030, 2240, 2320, 3248, 4060, 4640, 6496, 8120, 9280, 12992, 16240, 32480

Step-4: Factors of 64972

List of positive integer factors of 64972 that divides 64960 without a remainder.

1, 2, 4, 37, 74, 148, 439, 878, 1756, 16243, 32486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64960 and 64972. The biggest common factor number is the GCF number.
So the greatest common factor 64960 and 64972 is 4.

Also check out the Least Common Multiple of 64960 and 64972