What is the Greatest Common Factor of 24710 and 24722?
Greatest common factor (GCF) of 24710 and 24722 is 2.
GCF(24710,24722) = 2
We will now calculate the prime factors of 24710 and 24722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24710 and 24722.
How to find the GCF of 24710 and 24722?
We will first find the prime factorization of 24710 and 24722. After we will calculate the factors of 24710 and 24722 and find the biggest common factor number .
Step-1: Prime Factorization of 24710
Prime factors of 24710 are 2, 5, 7, 353. Prime factorization of 24710 in exponential form is:
24710 = 21 × 51 × 71 × 3531
Step-2: Prime Factorization of 24722
Prime factors of 24722 are 2, 47, 263. Prime factorization of 24722 in exponential form is:
24722 = 21 × 471 × 2631
Step-3: Factors of 24710
List of positive integer factors of 24710 that divides 24710 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 353, 706, 1765, 2471, 3530, 4942, 12355
Step-4: Factors of 24722
List of positive integer factors of 24722 that divides 24710 without a remainder.
1, 2, 47, 94, 263, 526, 12361
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24710 and 24722. The biggest common factor number is the GCF number.
So the greatest common factor 24710 and 24722 is 2.
Also check out the Least Common Multiple of 24710 and 24722
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Related Greatest Common Factors of 24722
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