What is the Greatest Common Factor of 61974 and 61993?

Greatest common factor (GCF) of 61974 and 61993 is 1.

GCF(61974,61993) = 1

We will now calculate the prime factors of 61974 and 61993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61974 and 61993.

How to find the GCF of 61974 and 61993?

We will first find the prime factorization of 61974 and 61993. After we will calculate the factors of 61974 and 61993 and find the biggest common factor number .

Step-1: Prime Factorization of 61974

Prime factors of 61974 are 2, 3, 11, 313. Prime factorization of 61974 in exponential form is:

61974 = 2¹ × 3² × 11¹ × 313¹

Step-2: Prime Factorization of 61993

Prime factors of 61993 are 47, 1319. Prime factorization of 61993 in exponential form is:

61993 = 47¹ × 1319¹

Step-3: Factors of 61974

List of positive integer factors of 61974 that divides 61974 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 313, 626, 939, 1878, 2817, 3443, 5634, 6886, 10329, 20658, 30987

Step-4: Factors of 61993

List of positive integer factors of 61993 that divides 61974 without a remainder.

1, 47, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61974 and 61993. The biggest common factor number is the GCF number.
So the greatest common factor 61974 and 61993 is 1.

Also check out the Least Common Multiple of 61974 and 61993