What is the Greatest Common Factor of 47642 and 47651?

Greatest common factor (GCF) of 47642 and 47651 is 1.

GCF(47642,47651) = 1

We will now calculate the prime factors of 47642 and 47651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47642 and 47651.

How to find the GCF of 47642 and 47651?

We will first find the prime factorization of 47642 and 47651. After we will calculate the factors of 47642 and 47651 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47651

Prime factors of 47651 are 17, 2803. Prime factorization of 47651 in exponential form is:

47651 = 17¹ × 2803¹

Step-3: Factors of 47642

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

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

Step-4: Factors of 47651

List of positive integer factors of 47651 that divides 47642 without a remainder.

1, 17, 2803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47642 and 47651. The biggest common factor number is the GCF number.
So the greatest common factor 47642 and 47651 is 1.

Also check out the Least Common Multiple of 47642 and 47651