What is the Greatest Common Factor of 60967 and 60976?

Greatest common factor (GCF) of 60967 and 60976 is 1.

GCF(60967,60976) = 1

We will now calculate the prime factors of 60967 and 60976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60967 and 60976.

How to find the GCF of 60967 and 60976?

We will first find the prime factorization of 60967 and 60976. After we will calculate the factors of 60967 and 60976 and find the biggest common factor number .

Step-1: Prime Factorization of 60967

Prime factors of 60967 are 41, 1487. Prime factorization of 60967 in exponential form is:

60967 = 41¹ × 1487¹

Step-2: Prime Factorization of 60976

Prime factors of 60976 are 2, 37, 103. Prime factorization of 60976 in exponential form is:

60976 = 2⁴ × 37¹ × 103¹

Step-3: Factors of 60967

List of positive integer factors of 60967 that divides 60967 without a remainder.

1, 41, 1487

Step-4: Factors of 60976

List of positive integer factors of 60976 that divides 60967 without a remainder.

1, 2, 4, 8, 16, 37, 74, 103, 148, 206, 296, 412, 592, 824, 1648, 3811, 7622, 15244, 30488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60967 and 60976. The biggest common factor number is the GCF number.
So the greatest common factor 60967 and 60976 is 1.

Also check out the Least Common Multiple of 60967 and 60976