What is the Greatest Common Factor of 87978 and 87983?

Greatest common factor (GCF) of 87978 and 87983 is 1.

GCF(87978,87983) = 1

We will now calculate the prime factors of 87978 and 87983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87978 and 87983.

How to find the GCF of 87978 and 87983?

We will first find the prime factorization of 87978 and 87983. After we will calculate the factors of 87978 and 87983 and find the biggest common factor number .

Step-1: Prime Factorization of 87978

Prime factors of 87978 are 2, 3, 11, 31, 43. Prime factorization of 87978 in exponential form is:

87978 = 2¹ × 3¹ × 11¹ × 31¹ × 43¹

Step-2: Prime Factorization of 87983

Prime factors of 87983 are 7, 12569. Prime factorization of 87983 in exponential form is:

87983 = 7¹ × 12569¹

Step-3: Factors of 87978

List of positive integer factors of 87978 that divides 87978 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 43, 62, 66, 86, 93, 129, 186, 258, 341, 473, 682, 946, 1023, 1333, 1419, 2046, 2666, 2838, 3999, 7998, 14663, 29326, 43989

Step-4: Factors of 87983

List of positive integer factors of 87983 that divides 87978 without a remainder.

1, 7, 12569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87978 and 87983. The biggest common factor number is the GCF number.
So the greatest common factor 87978 and 87983 is 1.

Also check out the Least Common Multiple of 87978 and 87983