What is the Greatest Common Factor of 64610 and 64625?

Greatest common factor (GCF) of 64610 and 64625 is 5.

GCF(64610,64625) = 5

We will now calculate the prime factors of 64610 and 64625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64610 and 64625.

How to find the GCF of 64610 and 64625?

We will first find the prime factorization of 64610 and 64625. After we will calculate the factors of 64610 and 64625 and find the biggest common factor number .

Step-1: Prime Factorization of 64610

Prime factors of 64610 are 2, 5, 7, 13, 71. Prime factorization of 64610 in exponential form is:

64610 = 2¹ × 5¹ × 7¹ × 13¹ × 71¹

Step-2: 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-3: Factors of 64610

List of positive integer factors of 64610 that divides 64610 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 71, 91, 130, 142, 182, 355, 455, 497, 710, 910, 923, 994, 1846, 2485, 4615, 4970, 6461, 9230, 12922, 32305

Step-4: Factors of 64625

List of positive integer factors of 64625 that divides 64610 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64610 and 64625. The biggest common factor number is the GCF number.
So the greatest common factor 64610 and 64625 is 5.

Also check out the Least Common Multiple of 64610 and 64625