What is the Greatest Common Factor of 64650 and 64670?

Greatest common factor (GCF) of 64650 and 64670 is 10.

GCF(64650,64670) = 10

We will now calculate the prime factors of 64650 and 64670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64650 and 64670.

How to find the GCF of 64650 and 64670?

We will first find the prime factorization of 64650 and 64670. After we will calculate the factors of 64650 and 64670 and find the biggest common factor number .

Step-1: Prime Factorization of 64650

Prime factors of 64650 are 2, 3, 5, 431. Prime factorization of 64650 in exponential form is:

64650 = 2¹ × 3¹ × 5² × 431¹

Step-2: Prime Factorization of 64670

Prime factors of 64670 are 2, 5, 29, 223. Prime factorization of 64670 in exponential form is:

64670 = 2¹ × 5¹ × 29¹ × 223¹

Step-3: Factors of 64650

List of positive integer factors of 64650 that divides 64650 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 431, 862, 1293, 2155, 2586, 4310, 6465, 10775, 12930, 21550, 32325

Step-4: Factors of 64670

List of positive integer factors of 64670 that divides 64650 without a remainder.

1, 2, 5, 10, 29, 58, 145, 223, 290, 446, 1115, 2230, 6467, 12934, 32335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64650 and 64670. The biggest common factor number is the GCF number.
So the greatest common factor 64650 and 64670 is 10.

Also check out the Least Common Multiple of 64650 and 64670