What is the Greatest Common Factor of 4635 and 4646?

Greatest common factor (GCF) of 4635 and 4646 is 1.

GCF(4635,4646) = 1

We will now calculate the prime factors of 4635 and 4646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4635 and 4646.

How to find the GCF of 4635 and 4646?

We will first find the prime factorization of 4635 and 4646. After we will calculate the factors of 4635 and 4646 and find the biggest common factor number .

Step-1: Prime Factorization of 4635

Prime factors of 4635 are 3, 5, 103. Prime factorization of 4635 in exponential form is:

4635 = 3² × 5¹ × 103¹

Step-2: Prime Factorization of 4646

Prime factors of 4646 are 2, 23, 101. Prime factorization of 4646 in exponential form is:

4646 = 2¹ × 23¹ × 101¹

Step-3: Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545

Step-4: Factors of 4646

List of positive integer factors of 4646 that divides 4635 without a remainder.

1, 2, 23, 46, 101, 202, 2323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4635 and 4646. The biggest common factor number is the GCF number.
So the greatest common factor 4635 and 4646 is 1.

Also check out the Least Common Multiple of 4635 and 4646