What is the Greatest Common Factor of 47635 and 47642?

Greatest common factor (GCF) of 47635 and 47642 is 7.

GCF(47635,47642) = 7

We will now calculate the prime factors of 47635 and 47642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47635 and 47642.

How to find the GCF of 47635 and 47642?

We will first find the prime factorization of 47635 and 47642. After we will calculate the factors of 47635 and 47642 and find the biggest common factor number .

Step-1: Prime Factorization of 47635

Prime factors of 47635 are 5, 7, 1361. Prime factorization of 47635 in exponential form is:

47635 = 5¹ × 7¹ × 1361¹

Step-2: Prime Factorization of 47642

Prime factors of 47642 are 2, 7, 41, 83. Prime factorization of 47642 in exponential form is:

47642 = 2¹ × 7¹ × 41¹ × 83¹

Step-3: Factors of 47635

List of positive integer factors of 47635 that divides 47635 without a remainder.

1, 5, 7, 35, 1361, 6805, 9527

Step-4: Factors of 47642

List of positive integer factors of 47642 that divides 47635 without a remainder.

1, 2, 7, 14, 41, 82, 83, 166, 287, 574, 581, 1162, 3403, 6806, 23821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47635 and 47642. The biggest common factor number is the GCF number.
So the greatest common factor 47635 and 47642 is 7.

Also check out the Least Common Multiple of 47635 and 47642