What is the Greatest Common Factor of 61948 and 61961?

Greatest common factor (GCF) of 61948 and 61961 is 1.

GCF(61948,61961) = 1

We will now calculate the prime factors of 61948 and 61961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61948 and 61961.

How to find the GCF of 61948 and 61961?

We will first find the prime factorization of 61948 and 61961. After we will calculate the factors of 61948 and 61961 and find the biggest common factor number .

Step-1: Prime Factorization of 61948

Prime factors of 61948 are 2, 17, 911. Prime factorization of 61948 in exponential form is:

61948 = 2² × 17¹ × 911¹

Step-2: Prime Factorization of 61961

Prime factors of 61961 are 61961. Prime factorization of 61961 in exponential form is:

61961 = 61961¹

Step-3: Factors of 61948

List of positive integer factors of 61948 that divides 61948 without a remainder.

1, 2, 4, 17, 34, 68, 911, 1822, 3644, 15487, 30974

Step-4: Factors of 61961

List of positive integer factors of 61961 that divides 61948 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61948 and 61961. The biggest common factor number is the GCF number.
So the greatest common factor 61948 and 61961 is 1.

Also check out the Least Common Multiple of 61948 and 61961