What is the Greatest Common Factor of 41776 and 41790?

Greatest common factor (GCF) of 41776 and 41790 is 14.

GCF(41776,41790) = 14

We will now calculate the prime factors of 41776 and 41790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41776 and 41790.

How to find the GCF of 41776 and 41790?

We will first find the prime factorization of 41776 and 41790. After we will calculate the factors of 41776 and 41790 and find the biggest common factor number .

Step-1: Prime Factorization of 41776

Prime factors of 41776 are 2, 7, 373. Prime factorization of 41776 in exponential form is:

41776 = 2⁴ × 7¹ × 373¹

Step-2: Prime Factorization of 41790

Prime factors of 41790 are 2, 3, 5, 7, 199. Prime factorization of 41790 in exponential form is:

41790 = 2¹ × 3¹ × 5¹ × 7¹ × 199¹

Step-3: Factors of 41776

List of positive integer factors of 41776 that divides 41776 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 373, 746, 1492, 2611, 2984, 5222, 5968, 10444, 20888

Step-4: Factors of 41790

List of positive integer factors of 41790 that divides 41776 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 199, 210, 398, 597, 995, 1194, 1393, 1990, 2786, 2985, 4179, 5970, 6965, 8358, 13930, 20895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41776 and 41790. The biggest common factor number is the GCF number.
So the greatest common factor 41776 and 41790 is 14.

Also check out the Least Common Multiple of 41776 and 41790