What is the Greatest Common Factor of 60109 and 60117?

Greatest common factor (GCF) of 60109 and 60117 is 1.

GCF(60109,60117) = 1

We will now calculate the prime factors of 60109 and 60117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60109 and 60117.

How to find the GCF of 60109 and 60117?

We will first find the prime factorization of 60109 and 60117. After we will calculate the factors of 60109 and 60117 and find the biggest common factor number .

Step-1: Prime Factorization of 60109

Prime factors of 60109 are 7, 31, 277. Prime factorization of 60109 in exponential form is:

60109 = 7¹ × 31¹ × 277¹

Step-2: Prime Factorization of 60117

Prime factors of 60117 are 3, 29, 691. Prime factorization of 60117 in exponential form is:

60117 = 3¹ × 29¹ × 691¹

Step-3: Factors of 60109

List of positive integer factors of 60109 that divides 60109 without a remainder.

1, 7, 31, 217, 277, 1939, 8587

Step-4: Factors of 60117

List of positive integer factors of 60117 that divides 60109 without a remainder.

1, 3, 29, 87, 691, 2073, 20039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60109 and 60117. The biggest common factor number is the GCF number.
So the greatest common factor 60109 and 60117 is 1.

Also check out the Least Common Multiple of 60109 and 60117