What is the Greatest Common Factor of 87072 and 87091?

Greatest common factor (GCF) of 87072 and 87091 is 1.

GCF(87072,87091) = 1

We will now calculate the prime factors of 87072 and 87091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87072 and 87091.

How to find the GCF of 87072 and 87091?

We will first find the prime factorization of 87072 and 87091. After we will calculate the factors of 87072 and 87091 and find the biggest common factor number .

Step-1: Prime Factorization of 87072

Prime factors of 87072 are 2, 3, 907. Prime factorization of 87072 in exponential form is:

87072 = 2⁵ × 3¹ × 907¹

Step-2: Prime Factorization of 87091

Prime factors of 87091 are 17, 47, 109. Prime factorization of 87091 in exponential form is:

87091 = 17¹ × 47¹ × 109¹

Step-3: Factors of 87072

List of positive integer factors of 87072 that divides 87072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 907, 1814, 2721, 3628, 5442, 7256, 10884, 14512, 21768, 29024, 43536

Step-4: Factors of 87091

List of positive integer factors of 87091 that divides 87072 without a remainder.

1, 17, 47, 109, 799, 1853, 5123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87072 and 87091. The biggest common factor number is the GCF number.
So the greatest common factor 87072 and 87091 is 1.

Also check out the Least Common Multiple of 87072 and 87091