What is the Greatest Common Factor of 64990 and 65010?

Greatest common factor (GCF) of 64990 and 65010 is 10.

GCF(64990,65010) = 10

We will now calculate the prime factors of 64990 and 65010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64990 and 65010.

How to find the GCF of 64990 and 65010?

We will first find the prime factorization of 64990 and 65010. After we will calculate the factors of 64990 and 65010 and find the biggest common factor number .

Step-1: Prime Factorization of 64990

Prime factors of 64990 are 2, 5, 67, 97. Prime factorization of 64990 in exponential form is:

64990 = 2¹ × 5¹ × 67¹ × 97¹

Step-2: Prime Factorization of 65010

Prime factors of 65010 are 2, 3, 5, 11, 197. Prime factorization of 65010 in exponential form is:

65010 = 2¹ × 3¹ × 5¹ × 11¹ × 197¹

Step-3: Factors of 64990

List of positive integer factors of 64990 that divides 64990 without a remainder.

1, 2, 5, 10, 67, 97, 134, 194, 335, 485, 670, 970, 6499, 12998, 32495

Step-4: Factors of 65010

List of positive integer factors of 65010 that divides 64990 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 197, 330, 394, 591, 985, 1182, 1970, 2167, 2955, 4334, 5910, 6501, 10835, 13002, 21670, 32505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64990 and 65010. The biggest common factor number is the GCF number.
So the greatest common factor 64990 and 65010 is 10.

Also check out the Least Common Multiple of 64990 and 65010