What is the Greatest Common Factor of 60011 and 60018?

Greatest common factor (GCF) of 60011 and 60018 is 7.

GCF(60011,60018) = 7

We will now calculate the prime factors of 60011 and 60018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60011 and 60018.

How to find the GCF of 60011 and 60018?

We will first find the prime factorization of 60011 and 60018. After we will calculate the factors of 60011 and 60018 and find the biggest common factor number .

Step-1: Prime Factorization of 60011

Prime factors of 60011 are 7, 8573. Prime factorization of 60011 in exponential form is:

60011 = 7¹ × 8573¹

Step-2: Prime Factorization of 60018

Prime factors of 60018 are 2, 3, 7, 1429. Prime factorization of 60018 in exponential form is:

60018 = 2¹ × 3¹ × 7¹ × 1429¹

Step-3: Factors of 60011

List of positive integer factors of 60011 that divides 60011 without a remainder.

1, 7, 8573

Step-4: Factors of 60018

List of positive integer factors of 60018 that divides 60011 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1429, 2858, 4287, 8574, 10003, 20006, 30009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60011 and 60018. The biggest common factor number is the GCF number.
So the greatest common factor 60011 and 60018 is 7.

Also check out the Least Common Multiple of 60011 and 60018