What is the Greatest Common Factor of 87892 and 87901?

Greatest common factor (GCF) of 87892 and 87901 is 1.

GCF(87892,87901) = 1

We will now calculate the prime factors of 87892 and 87901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87892 and 87901.

How to find the GCF of 87892 and 87901?

We will first find the prime factorization of 87892 and 87901. After we will calculate the factors of 87892 and 87901 and find the biggest common factor number .

Step-1: Prime Factorization of 87892

Prime factors of 87892 are 2, 7, 43, 73. Prime factorization of 87892 in exponential form is:

87892 = 2² × 7¹ × 43¹ × 73¹

Step-2: Prime Factorization of 87901

Prime factors of 87901 are 11, 61, 131. Prime factorization of 87901 in exponential form is:

87901 = 11¹ × 61¹ × 131¹

Step-3: Factors of 87892

List of positive integer factors of 87892 that divides 87892 without a remainder.

1, 2, 4, 7, 14, 28, 43, 73, 86, 146, 172, 292, 301, 511, 602, 1022, 1204, 2044, 3139, 6278, 12556, 21973, 43946

Step-4: Factors of 87901

List of positive integer factors of 87901 that divides 87892 without a remainder.

1, 11, 61, 131, 671, 1441, 7991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87892 and 87901. The biggest common factor number is the GCF number.
So the greatest common factor 87892 and 87901 is 1.

Also check out the Least Common Multiple of 87892 and 87901