What is the Greatest Common Factor of 87609 and 87626?

Greatest common factor (GCF) of 87609 and 87626 is 1.

GCF(87609,87626) = 1

We will now calculate the prime factors of 87609 and 87626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87609 and 87626.

How to find the GCF of 87609 and 87626?

We will first find the prime factorization of 87609 and 87626. After we will calculate the factors of 87609 and 87626 and find the biggest common factor number .

Step-1: Prime Factorization of 87609

Prime factors of 87609 are 3, 19, 29, 53. Prime factorization of 87609 in exponential form is:

87609 = 3¹ × 19¹ × 29¹ × 53¹

Step-2: Prime Factorization of 87626

Prime factors of 87626 are 2, 7, 11, 569. Prime factorization of 87626 in exponential form is:

87626 = 2¹ × 7¹ × 11¹ × 569¹

Step-3: Factors of 87609

List of positive integer factors of 87609 that divides 87609 without a remainder.

1, 3, 19, 29, 53, 57, 87, 159, 551, 1007, 1537, 1653, 3021, 4611, 29203

Step-4: Factors of 87626

List of positive integer factors of 87626 that divides 87609 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 569, 1138, 3983, 6259, 7966, 12518, 43813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87609 and 87626. The biggest common factor number is the GCF number.
So the greatest common factor 87609 and 87626 is 1.

Also check out the Least Common Multiple of 87609 and 87626