What is the Greatest Common Factor of 61996 and 62002?

Greatest common factor (GCF) of 61996 and 62002 is 2.

GCF(61996,62002) = 2

We will now calculate the prime factors of 61996 and 62002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61996 and 62002.

How to find the GCF of 61996 and 62002?

We will first find the prime factorization of 61996 and 62002. After we will calculate the factors of 61996 and 62002 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 62002

Prime factors of 62002 are 2, 29, 1069. Prime factorization of 62002 in exponential form is:

62002 = 2¹ × 29¹ × 1069¹

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 62002

List of positive integer factors of 62002 that divides 61996 without a remainder.

1, 2, 29, 58, 1069, 2138, 31001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61996 and 62002. The biggest common factor number is the GCF number.
So the greatest common factor 61996 and 62002 is 2.

Also check out the Least Common Multiple of 61996 and 62002