What is the Greatest Common Factor of 61942 and 61962?

Greatest common factor (GCF) of 61942 and 61962 is 2.

GCF(61942,61962) = 2

We will now calculate the prime factors of 61942 and 61962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61942 and 61962.

How to find the GCF of 61942 and 61962?

We will first find the prime factorization of 61942 and 61962. After we will calculate the factors of 61942 and 61962 and find the biggest common factor number .

Step-1: Prime Factorization of 61942

Prime factors of 61942 are 2, 30971. Prime factorization of 61942 in exponential form is:

61942 = 2¹ × 30971¹

Step-2: Prime Factorization of 61962

Prime factors of 61962 are 2, 3, 23, 449. Prime factorization of 61962 in exponential form is:

61962 = 2¹ × 3¹ × 23¹ × 449¹

Step-3: Factors of 61942

List of positive integer factors of 61942 that divides 61942 without a remainder.

1, 2, 30971

Step-4: Factors of 61962

List of positive integer factors of 61962 that divides 61942 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 449, 898, 1347, 2694, 10327, 20654, 30981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61942 and 61962. The biggest common factor number is the GCF number.
So the greatest common factor 61942 and 61962 is 2.

Also check out the Least Common Multiple of 61942 and 61962