What is the Greatest Common Factor of 61996 and 62007?

Greatest common factor (GCF) of 61996 and 62007 is 11.

GCF(61996,62007) = 11

We will now calculate the prime factors of 61996 and 62007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61996 and 62007.

How to find the GCF of 61996 and 62007?

We will first find the prime factorization of 61996 and 62007. After we will calculate the factors of 61996 and 62007 and find the biggest common factor number .

Step-1: Prime Factorization of 61996

Prime factors of 61996 are 2, 11, 1409. Prime factorization of 61996 in exponential form is:

61996 = 2² × 11¹ × 1409¹

Step-2: Prime Factorization of 62007

Prime factors of 62007 are 3, 11, 1879. Prime factorization of 62007 in exponential form is:

62007 = 3¹ × 11¹ × 1879¹

Step-3: Factors of 61996

List of positive integer factors of 61996 that divides 61996 without a remainder.

1, 2, 4, 11, 22, 44, 1409, 2818, 5636, 15499, 30998

Step-4: Factors of 62007

List of positive integer factors of 62007 that divides 61996 without a remainder.

1, 3, 11, 33, 1879, 5637, 20669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61996 and 62007. The biggest common factor number is the GCF number.
So the greatest common factor 61996 and 62007 is 11.

Also check out the Least Common Multiple of 61996 and 62007