What is the Greatest Common Factor of 15672 and 15690?

Greatest common factor (GCF) of 15672 and 15690 is 6.

GCF(15672,15690) = 6

We will now calculate the prime factors of 15672 and 15690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15672 and 15690.

How to find the GCF of 15672 and 15690?

We will first find the prime factorization of 15672 and 15690. After we will calculate the factors of 15672 and 15690 and find the biggest common factor number .

Step-1: Prime Factorization of 15672

Prime factors of 15672 are 2, 3, 653. Prime factorization of 15672 in exponential form is:

15672 = 2³ × 3¹ × 653¹

Step-2: Prime Factorization of 15690

Prime factors of 15690 are 2, 3, 5, 523. Prime factorization of 15690 in exponential form is:

15690 = 2¹ × 3¹ × 5¹ × 523¹

Step-3: Factors of 15672

List of positive integer factors of 15672 that divides 15672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 653, 1306, 1959, 2612, 3918, 5224, 7836

Step-4: Factors of 15690

List of positive integer factors of 15690 that divides 15672 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 523, 1046, 1569, 2615, 3138, 5230, 7845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15672 and 15690. The biggest common factor number is the GCF number.
So the greatest common factor 15672 and 15690 is 6.

Also check out the Least Common Multiple of 15672 and 15690