What is the Greatest Common Factor of 64998 and 65002?

Greatest common factor (GCF) of 64998 and 65002 is 2.

GCF(64998,65002) = 2

We will now calculate the prime factors of 64998 and 65002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64998 and 65002.

How to find the GCF of 64998 and 65002?

We will first find the prime factorization of 64998 and 65002. After we will calculate the factors of 64998 and 65002 and find the biggest common factor number .

Step-1: Prime Factorization of 64998

Prime factors of 64998 are 2, 3, 23, 157. Prime factorization of 64998 in exponential form is:

64998 = 2¹ × 3² × 23¹ × 157¹

Step-2: Prime Factorization of 65002

Prime factors of 65002 are 2, 7, 4643. Prime factorization of 65002 in exponential form is:

65002 = 2¹ × 7¹ × 4643¹

Step-3: Factors of 64998

List of positive integer factors of 64998 that divides 64998 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 157, 207, 314, 414, 471, 942, 1413, 2826, 3611, 7222, 10833, 21666, 32499

Step-4: Factors of 65002

List of positive integer factors of 65002 that divides 64998 without a remainder.

1, 2, 7, 14, 4643, 9286, 32501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64998 and 65002. The biggest common factor number is the GCF number.
So the greatest common factor 64998 and 65002 is 2.

Also check out the Least Common Multiple of 64998 and 65002