What is the Greatest Common Factor of 30616 and 30632?

Greatest common factor (GCF) of 30616 and 30632 is 8.

GCF(30616,30632) = 8

We will now calculate the prime factors of 30616 and 30632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30616 and 30632.

How to find the GCF of 30616 and 30632?

We will first find the prime factorization of 30616 and 30632. After we will calculate the factors of 30616 and 30632 and find the biggest common factor number .

Step-1: Prime Factorization of 30616

Prime factors of 30616 are 2, 43, 89. Prime factorization of 30616 in exponential form is:

30616 = 2³ × 43¹ × 89¹

Step-2: Prime Factorization of 30632

Prime factors of 30632 are 2, 7, 547. Prime factorization of 30632 in exponential form is:

30632 = 2³ × 7¹ × 547¹

Step-3: Factors of 30616

List of positive integer factors of 30616 that divides 30616 without a remainder.

1, 2, 4, 8, 43, 86, 89, 172, 178, 344, 356, 712, 3827, 7654, 15308

Step-4: Factors of 30632

List of positive integer factors of 30632 that divides 30616 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 547, 1094, 2188, 3829, 4376, 7658, 15316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30616 and 30632. The biggest common factor number is the GCF number.
So the greatest common factor 30616 and 30632 is 8.

Also check out the Least Common Multiple of 30616 and 30632