What is the Greatest Common Factor of 61978 and 61997?

Greatest common factor (GCF) of 61978 and 61997 is 19.

GCF(61978,61997) = 19

We will now calculate the prime factors of 61978 and 61997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61978 and 61997.

How to find the GCF of 61978 and 61997?

We will first find the prime factorization of 61978 and 61997. After we will calculate the factors of 61978 and 61997 and find the biggest common factor number .

Step-1: Prime Factorization of 61978

Prime factors of 61978 are 2, 7, 19, 233. Prime factorization of 61978 in exponential form is:

61978 = 2¹ × 7¹ × 19¹ × 233¹

Step-2: Prime Factorization of 61997

Prime factors of 61997 are 13, 19, 251. Prime factorization of 61997 in exponential form is:

61997 = 13¹ × 19¹ × 251¹

Step-3: Factors of 61978

List of positive integer factors of 61978 that divides 61978 without a remainder.

1, 2, 7, 14, 19, 38, 133, 233, 266, 466, 1631, 3262, 4427, 8854, 30989

Step-4: Factors of 61997

List of positive integer factors of 61997 that divides 61978 without a remainder.

1, 13, 19, 247, 251, 3263, 4769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61978 and 61997. The biggest common factor number is the GCF number.
So the greatest common factor 61978 and 61997 is 19.

Also check out the Least Common Multiple of 61978 and 61997