What is the Greatest Common Factor of 87435 and 87450?

Greatest common factor (GCF) of 87435 and 87450 is 15.

GCF(87435,87450) = 15

We will now calculate the prime factors of 87435 and 87450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87435 and 87450.

How to find the GCF of 87435 and 87450?

We will first find the prime factorization of 87435 and 87450. After we will calculate the factors of 87435 and 87450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87450

Prime factors of 87450 are 2, 3, 5, 11, 53. Prime factorization of 87450 in exponential form is:

87450 = 2¹ × 3¹ × 5² × 11¹ × 53¹

Step-3: Factors of 87435

List of positive integer factors of 87435 that divides 87435 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

Step-4: Factors of 87450

List of positive integer factors of 87450 that divides 87435 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 53, 55, 66, 75, 106, 110, 150, 159, 165, 265, 275, 318, 330, 530, 550, 583, 795, 825, 1166, 1325, 1590, 1650, 1749, 2650, 2915, 3498, 3975, 5830, 7950, 8745, 14575, 17490, 29150, 43725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87435 and 87450. The biggest common factor number is the GCF number.
So the greatest common factor 87435 and 87450 is 15.

Also check out the Least Common Multiple of 87435 and 87450