What is the Greatest Common Factor of 73970 and 73987?

Greatest common factor (GCF) of 73970 and 73987 is 1.

GCF(73970,73987) = 1

We will now calculate the prime factors of 73970 and 73987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73970 and 73987.

How to find the GCF of 73970 and 73987?

We will first find the prime factorization of 73970 and 73987. After we will calculate the factors of 73970 and 73987 and find the biggest common factor number .

Step-1: Prime Factorization of 73970

Prime factors of 73970 are 2, 5, 13, 569. Prime factorization of 73970 in exponential form is:

73970 = 2¹ × 5¹ × 13¹ × 569¹

Step-2: Prime Factorization of 73987

Prime factors of 73987 are 241, 307. Prime factorization of 73987 in exponential form is:

73987 = 241¹ × 307¹

Step-3: Factors of 73970

List of positive integer factors of 73970 that divides 73970 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 569, 1138, 2845, 5690, 7397, 14794, 36985

Step-4: Factors of 73987

List of positive integer factors of 73987 that divides 73970 without a remainder.

1, 241, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73970 and 73987. The biggest common factor number is the GCF number.
So the greatest common factor 73970 and 73987 is 1.

Also check out the Least Common Multiple of 73970 and 73987