What is the Greatest Common Factor of 61971 and 61978?

Greatest common factor (GCF) of 61971 and 61978 is 7.

GCF(61971,61978) = 7

We will now calculate the prime factors of 61971 and 61978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61971 and 61978.

How to find the GCF of 61971 and 61978?

We will first find the prime factorization of 61971 and 61978. After we will calculate the factors of 61971 and 61978 and find the biggest common factor number .

Step-1: Prime Factorization of 61971

Prime factors of 61971 are 3, 7, 13, 227. Prime factorization of 61971 in exponential form is:

61971 = 3¹ × 7¹ × 13¹ × 227¹

Step-2: 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-3: Factors of 61971

List of positive integer factors of 61971 that divides 61971 without a remainder.

1, 3, 7, 13, 21, 39, 91, 227, 273, 681, 1589, 2951, 4767, 8853, 20657

Step-4: Factors of 61978

List of positive integer factors of 61978 that divides 61971 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61971 and 61978. The biggest common factor number is the GCF number.
So the greatest common factor 61971 and 61978 is 7.

Also check out the Least Common Multiple of 61971 and 61978