What is the Greatest Common Factor of 46079 and 46090?

Greatest common factor (GCF) of 46079 and 46090 is 11.

GCF(46079,46090) = 11

We will now calculate the prime factors of 46079 and 46090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46079 and 46090.

How to find the GCF of 46079 and 46090?

We will first find the prime factorization of 46079 and 46090. After we will calculate the factors of 46079 and 46090 and find the biggest common factor number .

Step-1: Prime Factorization of 46079

Prime factors of 46079 are 11, 59, 71. Prime factorization of 46079 in exponential form is:

46079 = 11¹ × 59¹ × 71¹

Step-2: Prime Factorization of 46090

Prime factors of 46090 are 2, 5, 11, 419. Prime factorization of 46090 in exponential form is:

46090 = 2¹ × 5¹ × 11¹ × 419¹

Step-3: Factors of 46079

List of positive integer factors of 46079 that divides 46079 without a remainder.

1, 11, 59, 71, 649, 781, 4189

Step-4: Factors of 46090

List of positive integer factors of 46090 that divides 46079 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 419, 838, 2095, 4190, 4609, 9218, 23045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46079 and 46090. The biggest common factor number is the GCF number.
So the greatest common factor 46079 and 46090 is 11.

Also check out the Least Common Multiple of 46079 and 46090