What is the Greatest Common Factor of 87429 and 87435?

Greatest common factor (GCF) of 87429 and 87435 is 3.

GCF(87429,87435) = 3

We will now calculate the prime factors of 87429 and 87435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87429 and 87435.

How to find the GCF of 87429 and 87435?

We will first find the prime factorization of 87429 and 87435. After we will calculate the factors of 87429 and 87435 and find the biggest common factor number .

Step-1: Prime Factorization of 87429

Prime factors of 87429 are 3, 151, 193. Prime factorization of 87429 in exponential form is:

87429 = 3¹ × 151¹ × 193¹

Step-2: Prime Factorization of 87435

Prime factors of 87435 are 3, 5, 29, 67. Prime factorization of 87435 in exponential form is:

87435 = 3² × 5¹ × 29¹ × 67¹

Step-3: Factors of 87429

List of positive integer factors of 87429 that divides 87429 without a remainder.

1, 3, 151, 193, 453, 579, 29143

Step-4: Factors of 87435

List of positive integer factors of 87435 that divides 87429 without a remainder.

1, 3, 5, 9, 15, 29, 45, 67, 87, 145, 201, 261, 335, 435, 603, 1005, 1305, 1943, 3015, 5829, 9715, 17487, 29145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87429 and 87435. The biggest common factor number is the GCF number.
So the greatest common factor 87429 and 87435 is 3.

Also check out the Least Common Multiple of 87429 and 87435