What is the Greatest Common Factor of 45985 and 45998?

Greatest common factor (GCF) of 45985 and 45998 is 1.

GCF(45985,45998) = 1

We will now calculate the prime factors of 45985 and 45998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45985 and 45998.

How to find the GCF of 45985 and 45998?

We will first find the prime factorization of 45985 and 45998. After we will calculate the factors of 45985 and 45998 and find the biggest common factor number .

Step-1: Prime Factorization of 45985

Prime factors of 45985 are 5, 17, 541. Prime factorization of 45985 in exponential form is:

45985 = 5¹ × 17¹ × 541¹

Step-2: Prime Factorization of 45998

Prime factors of 45998 are 2, 109, 211. Prime factorization of 45998 in exponential form is:

45998 = 2¹ × 109¹ × 211¹

Step-3: Factors of 45985

List of positive integer factors of 45985 that divides 45985 without a remainder.

1, 5, 17, 85, 541, 2705, 9197

Step-4: Factors of 45998

List of positive integer factors of 45998 that divides 45985 without a remainder.

1, 2, 109, 211, 218, 422, 22999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45985 and 45998. The biggest common factor number is the GCF number.
So the greatest common factor 45985 and 45998 is 1.

Also check out the Least Common Multiple of 45985 and 45998