What is the Greatest Common Factor of 60669 and 60676?

Greatest common factor (GCF) of 60669 and 60676 is 7.

GCF(60669,60676) = 7

We will now calculate the prime factors of 60669 and 60676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60669 and 60676.

How to find the GCF of 60669 and 60676?

We will first find the prime factorization of 60669 and 60676. After we will calculate the factors of 60669 and 60676 and find the biggest common factor number .

Step-1: Prime Factorization of 60669

Prime factors of 60669 are 3, 7, 107. Prime factorization of 60669 in exponential form is:

60669 = 3⁴ × 7¹ × 107¹

Step-2: Prime Factorization of 60676

Prime factors of 60676 are 2, 7, 11, 197. Prime factorization of 60676 in exponential form is:

60676 = 2² × 7¹ × 11¹ × 197¹

Step-3: Factors of 60669

List of positive integer factors of 60669 that divides 60669 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 107, 189, 321, 567, 749, 963, 2247, 2889, 6741, 8667, 20223

Step-4: Factors of 60676

List of positive integer factors of 60676 that divides 60669 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 197, 308, 394, 788, 1379, 2167, 2758, 4334, 5516, 8668, 15169, 30338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60669 and 60676. The biggest common factor number is the GCF number.
So the greatest common factor 60669 and 60676 is 7.

Also check out the Least Common Multiple of 60669 and 60676