What is the Greatest Common Factor of 64625 and 64643?

Greatest common factor (GCF) of 64625 and 64643 is 1.

GCF(64625,64643) = 1

We will now calculate the prime factors of 64625 and 64643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64625 and 64643.

How to find the GCF of 64625 and 64643?

We will first find the prime factorization of 64625 and 64643. After we will calculate the factors of 64625 and 64643 and find the biggest common factor number .

Step-1: Prime Factorization of 64625

Prime factors of 64625 are 5, 11, 47. Prime factorization of 64625 in exponential form is:

64625 = 5³ × 11¹ × 47¹

Step-2: Prime Factorization of 64643

Prime factors of 64643 are 127, 509. Prime factorization of 64643 in exponential form is:

64643 = 127¹ × 509¹

Step-3: Factors of 64625

List of positive integer factors of 64625 that divides 64625 without a remainder.

1, 5, 11, 25, 47, 55, 125, 235, 275, 517, 1175, 1375, 2585, 5875, 12925

Step-4: Factors of 64643

List of positive integer factors of 64643 that divides 64625 without a remainder.

1, 127, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64625 and 64643. The biggest common factor number is the GCF number.
So the greatest common factor 64625 and 64643 is 1.

Also check out the Least Common Multiple of 64625 and 64643