What is the Greatest Common Factor of 61952 and 61969?

Greatest common factor (GCF) of 61952 and 61969 is 1.

GCF(61952,61969) = 1

We will now calculate the prime factors of 61952 and 61969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61952 and 61969.

How to find the GCF of 61952 and 61969?

We will first find the prime factorization of 61952 and 61969. After we will calculate the factors of 61952 and 61969 and find the biggest common factor number .

Step-1: Prime Factorization of 61952

Prime factors of 61952 are 2, 11. Prime factorization of 61952 in exponential form is:

61952 = 2⁹ × 11²

Step-2: Prime Factorization of 61969

Prime factors of 61969 are 31, 1999. Prime factorization of 61969 in exponential form is:

61969 = 31¹ × 1999¹

Step-3: Factors of 61952

List of positive integer factors of 61952 that divides 61952 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 128, 176, 242, 256, 352, 484, 512, 704, 968, 1408, 1936, 2816, 3872, 5632, 7744, 15488, 30976

Step-4: Factors of 61969

List of positive integer factors of 61969 that divides 61952 without a remainder.

1, 31, 1999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61952 and 61969. The biggest common factor number is the GCF number.
So the greatest common factor 61952 and 61969 is 1.

Also check out the Least Common Multiple of 61952 and 61969