What is the Greatest Common Factor of 75498 and 75506?
Greatest common factor (GCF) of 75498 and 75506 is 2.
GCF(75498,75506) = 2
We will now calculate the prime factors of 75498 and 75506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75498 and 75506.
How to find the GCF of 75498 and 75506?
We will first find the prime factorization of 75498 and 75506. After we will calculate the factors of 75498 and 75506 and find the biggest common factor number .
Step-1: Prime Factorization of 75498
Prime factors of 75498 are 2, 3, 12583. Prime factorization of 75498 in exponential form is:
75498 = 21 × 31 × 125831
Step-2: Prime Factorization of 75506
Prime factors of 75506 are 2, 19, 1987. Prime factorization of 75506 in exponential form is:
75506 = 21 × 191 × 19871
Step-3: Factors of 75498
List of positive integer factors of 75498 that divides 75498 without a remainder.
1, 2, 3, 6, 12583, 25166, 37749
Step-4: Factors of 75506
List of positive integer factors of 75506 that divides 75498 without a remainder.
1, 2, 19, 38, 1987, 3974, 37753
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 75498 and 75506. The biggest common factor number is the GCF number.
So the greatest common factor 75498 and 75506 is 2.
Also check out the Least Common Multiple of 75498 and 75506
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