What is the Greatest Common Factor of 87969 and 87983?

Greatest common factor (GCF) of 87969 and 87983 is 7.

GCF(87969,87983) = 7

We will now calculate the prime factors of 87969 and 87983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87969 and 87983.

How to find the GCF of 87969 and 87983?

We will first find the prime factorization of 87969 and 87983. After we will calculate the factors of 87969 and 87983 and find the biggest common factor number .

Step-1: Prime Factorization of 87969

Prime factors of 87969 are 3, 7, 59, 71. Prime factorization of 87969 in exponential form is:

87969 = 3¹ × 7¹ × 59¹ × 71¹

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 87969

List of positive integer factors of 87969 that divides 87969 without a remainder.

1, 3, 7, 21, 59, 71, 177, 213, 413, 497, 1239, 1491, 4189, 12567, 29323

Step-4: Factors of 87983

List of positive integer factors of 87983 that divides 87969 without a remainder.

1, 7, 12569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87969 and 87983. The biggest common factor number is the GCF number.
So the greatest common factor 87969 and 87983 is 7.

Also check out the Least Common Multiple of 87969 and 87983