What is the Greatest Common Factor of 64415 and 64435?

Greatest common factor (GCF) of 64415 and 64435 is 5.

GCF(64415,64435) = 5

We will now calculate the prime factors of 64415 and 64435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64415 and 64435.

How to find the GCF of 64415 and 64435?

We will first find the prime factorization of 64415 and 64435. After we will calculate the factors of 64415 and 64435 and find the biggest common factor number .

Step-1: Prime Factorization of 64415

Prime factors of 64415 are 5, 13, 991. Prime factorization of 64415 in exponential form is:

64415 = 5¹ × 13¹ × 991¹

Step-2: Prime Factorization of 64435

Prime factors of 64435 are 5, 7, 263. Prime factorization of 64435 in exponential form is:

64435 = 5¹ × 7² × 263¹

Step-3: Factors of 64415

List of positive integer factors of 64415 that divides 64415 without a remainder.

1, 5, 13, 65, 991, 4955, 12883

Step-4: Factors of 64435

List of positive integer factors of 64435 that divides 64415 without a remainder.

1, 5, 7, 35, 49, 245, 263, 1315, 1841, 9205, 12887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64415 and 64435. The biggest common factor number is the GCF number.
So the greatest common factor 64415 and 64435 is 5.

Also check out the Least Common Multiple of 64415 and 64435