What is the Greatest Common Factor of 64965 and 64975?

Greatest common factor (GCF) of 64965 and 64975 is 5.

GCF(64965,64975) = 5

We will now calculate the prime factors of 64965 and 64975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64965 and 64975.

How to find the GCF of 64965 and 64975?

We will first find the prime factorization of 64965 and 64975. After we will calculate the factors of 64965 and 64975 and find the biggest common factor number .

Step-1: Prime Factorization of 64965

Prime factors of 64965 are 3, 5, 61, 71. Prime factorization of 64965 in exponential form is:

64965 = 3¹ × 5¹ × 61¹ × 71¹

Step-2: Prime Factorization of 64975

Prime factors of 64975 are 5, 23, 113. Prime factorization of 64975 in exponential form is:

64975 = 5² × 23¹ × 113¹

Step-3: Factors of 64965

List of positive integer factors of 64965 that divides 64965 without a remainder.

1, 3, 5, 15, 61, 71, 183, 213, 305, 355, 915, 1065, 4331, 12993, 21655

Step-4: Factors of 64975

List of positive integer factors of 64975 that divides 64965 without a remainder.

1, 5, 23, 25, 113, 115, 565, 575, 2599, 2825, 12995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64965 and 64975. The biggest common factor number is the GCF number.
So the greatest common factor 64965 and 64975 is 5.

Also check out the Least Common Multiple of 64965 and 64975