What is the Greatest Common Factor of 87662 and 87668?

Greatest common factor (GCF) of 87662 and 87668 is 2.

GCF(87662,87668) = 2

We will now calculate the prime factors of 87662 and 87668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87662 and 87668.

How to find the GCF of 87662 and 87668?

We will first find the prime factorization of 87662 and 87668. After we will calculate the factors of 87662 and 87668 and find the biggest common factor number .

Step-1: Prime Factorization of 87662

Prime factors of 87662 are 2, 53, 827. Prime factorization of 87662 in exponential form is:

87662 = 2¹ × 53¹ × 827¹

Step-2: Prime Factorization of 87668

Prime factors of 87668 are 2, 7, 31, 101. Prime factorization of 87668 in exponential form is:

87668 = 2² × 7¹ × 31¹ × 101¹

Step-3: Factors of 87662

List of positive integer factors of 87662 that divides 87662 without a remainder.

1, 2, 53, 106, 827, 1654, 43831

Step-4: Factors of 87668

List of positive integer factors of 87668 that divides 87662 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 101, 124, 202, 217, 404, 434, 707, 868, 1414, 2828, 3131, 6262, 12524, 21917, 43834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87662 and 87668. The biggest common factor number is the GCF number.
So the greatest common factor 87662 and 87668 is 2.

Also check out the Least Common Multiple of 87662 and 87668